Indestructibility of Wholeness

DOI10.4064/fm604-3-2020zbMath1477.03223OpenAlexW3044518171MaRDI QIDQ5146433

Paul Corazza

Publication date: 25 January 2021

Published in: Fundamenta Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/fm604-3-2020

zbMATH Keywords

forcingindestructibilitywholeness axiom

Mathematics Subject Classification ID

Consistency and independence results (03E35) Large cardinals (03E55) Other aspects of forcing and Boolean-valued models (03E40)

Cites Work

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• Lifting elementary embeddings \(j : V_{\lambda } \rightarrow V_{\lambda }\)
• Set theory. An introduction to independence proofs
• Set theory. An introduction to large cardinals
• Consistency of \(V= \text{HOD}\) with the wholeness axiom
• Braids and self-distributivity
• The wholeness axiom and Laver sequences
• The spectrum of elementary embeddings \(j: V \to V\)
• Elementary embeddings and infinitary combinatorics
• The Axiom of Infinity and Transformations j: V → V
• The wholeness axioms and V=HOD

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